论文标题
竞争电荷密度波，kekule和防铁磁性有序的分数量子霍尔在石墨烯中与硝酸硼排列
Theory of Competing Charge Density Wave, Kekule and Antiferromagnetic ordered Fractional Quantum Hall states in Graphene aligned with Boron Nitride
论文作者
论文摘要
我们研究了形式主义内的旋转和山谷对称性的分数量子霍尔阶段，该量子自然地将量子霍尔铁磁性的范式从整数扩展到分数量子厅状态，从而使我们能够为大型多组分状态构造详细的相图。通过与硝酸硼底物排列的石墨烯实验的动机，我们预测了通过增加磁场实现的一系列过渡序列，从亚晶状体极化状态到山谷相干电荷密度波态，再到进一步的抗铁磁相。此外，对于填充$ν= \ pm 1/3 $的分数，我们预测该系统在低场处经历过渡，这不仅因分数填充的口味的自旋效应而异，而且还通过其内在的分数量子霍尔自然。这种过渡是从笑声般的状态到两个组成部分的halperin状态，都具有电荷密度波顺序。此外，对于$ν= \ pm 1/3，\ pm 2/3 $，我们预测一个“倾斜的kekule密度阶段”（cakd），在瓦利·布洛赫球体中，进程和分数占用的组件在valley bloch sphere中具有不同的方向，与kekule状态相反，在山谷中，这两个杂志的中心都占据了相同的相同的压缩，而这两种状态都占据了相同的压缩。
We investigate spin and valley symmetry-broken fractional quantum Hall phases within a formalism that naturally extends the paradigm of quantum Hall ferromagnetism from integer to fractional quantum Hall states, allowing us to construct detailed phase diagrams for a large class of multi-component states. Motivated by recent experiments on Graphene aligned with a Boron Nitride substrate, we predict a sequence of transitions realized by increasing the magnetic field, starting from a sub-lattice polarized state to a valley coherent Kekule charge density wave state and further to an anti-ferromagnetic phase. Moreover for filling fractions such as $ν=\pm 1/3$, we predict that the system undergoes a transition at low fields, that not only differ by the spin-valley orientation of the fractionally filled flavors but also by their intrinsic fractional quantum Hall nature. This transition is from a Laughlin-like state to a two component Halperin-like state both with a charge density wave order. Moreover for $ν=\pm 1/3,\pm 2/3$, we predict a "canted Kekule density phase"(CaKD) where the spinors of integer and fractionally occupied components have different orientations in the valley Bloch sphere, in contrast to the Kekule state for the integer quantum Hall state at neutrality where both occupied components have the same orientation in the valley Bloch sphere.
